Contents
Functions & parameters
The following built in functions and parameters are supported by the commands FUNCTION and PARAMETER. They can also be used when defining expressions replacing numerical values in the input deck.
| Function / parameter | Description |
|---|---|
| pi | 3.141592653589793... |
| abs(x) | Absolute value |
| d(i,j) | Kronecker delta (d(i,j)=1 if i=j; d(i,j)=0 if i $\neq$ j) |
| erf(x) | Gauss error function |
| fcn(ID, x) | Returns a CURVE or FUNCTION value. $x$ is the abscissa. |
| H(x) | Step function (H(x<0) = 0; H(x $\geq$ 0) = 1) |
| ln(x) or log(x) | Natural logarithm |
| log10(x) | Logarithm to base 10 |
| sign(x) | Sign function (sign(x<0) = -1; sign(x $\geq$ 0) = 1) |
| min(x${}_1$, x${}_2$, ... x${}_n$) | Min function |
| max(x${}_1$, x${}_2$, ... x${}_n$) | Max function |
| sin(x) | Trigonometric sine function (degrees) |
| cos(x) | Trigonometric cosine function (degrees) |
| tan(x) | Trigonometric tangent function (degrees) |
| sinr(x) | Trigonometric sine function (radians) |
| cosr(x) | Trigonometric cosine function (radians) |
| tanr(x) | Trigonometric tangent function (radians) |
| exp(x) | Exponential function (exp(x) = $e^x$) |
| sqrt(x) | Square root |
| floor(x) | Rounds to nearest integer below x |
| round(x) | Rounds to nearest integer |
| ^ | Exponent (x^y = $x^y$) |
| table(tid, rid, cid) | Returns the value at row and column (rid,cid) in TABLE with ID tid. |
| norminv($\mu, \sigma, P, cap$) | Normal distribution quantile (inverse cumulative distribution function). The function returns a value in a normal distribution. Required input is the median value $\mu$, standard deviation $\sigma$ and a cumulative point in the distribution $0 \lt P \lt 1$ (typically a random number). $cap$ is optional and limits the deviation from $\mu$ (max number of standard deviations) |
| lognorminv($\mu, \sigma, P, cap$) | Log-normal distribution quantile (inverse cumulative distribution function). The function returns a value in a log-normal distribution. $\mathrm{exp}(\mu)$ is the median value in the distribution, $\sigma$ is the standard deviation of the variable's natural logarithm and $0 \lt P \lt 1$ is a cumulative point in the distribution (typically a random number). $cap$ is optional and limits the deviation from $\mu$ (max number of standard deviations) |
